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33224331 = 371983269
BaseRepresentation
bin111111010111…
…1011010001011
32022111222012210
41332233122023
532001134311
63144040203
7552254640
oct176573213
968458183
1033224331
1117832a28
12b163063
136b6378a
1445abdc7
152db43a6
hex1faf68b

33224331 has 16 divisors (see below), whose sum is σ = 53292800. Its totient is φ = 17985888.

The previous prime is 33224327. The next prime is 33224333. The reversal of 33224331 is 13342233.

It is not a de Polignac number, because 33224331 - 22 = 33224327 is a prime.

It is a super-2 number, since 2×332243312 = 2207712340795122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33224298 and 33224307.

It is not an unprimeable number, because it can be changed into a prime (33224333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41236 + ... + 42033.

It is an arithmetic number, because the mean of its divisors is an integer number (3330800).

Almost surely, 233224331 is an apocalyptic number.

33224331 is a deficient number, since it is larger than the sum of its proper divisors (20068469).

33224331 is a wasteful number, since it uses less digits than its factorization.

33224331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83298.

The product of its digits is 1296, while the sum is 21.

The square root of 33224331 is about 5764.0550830123. The cubic root of 33224331 is about 321.4786098042.

Adding to 33224331 its reverse (13342233), we get a palindrome (46566564).

The spelling of 33224331 in words is "thirty-three million, two hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 83269 249807 582883 1582111 1748649 4746333 11074777 33224331